2120209109800 has 96 divisors (see below), whose sum is σ = 5045689867680. Its totient is φ = 828103852800.

The previous prime is 2120209109791. The next prime is 2120209109801. The reversal of 2120209109800 is 89019020212.

It is not an unprimeable number, because it can be changed into a prime (2120209109801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28971255 + ... + 29044345.

It is an arithmetic number, because the mean of its divisors is an integer number (52559269455).

Almost surely, 2^{2120209109800} is an apocalyptic number.

2120209109800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120209109800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522844933840).

2120209109800 is an abundant number, since it is smaller than the sum of its proper divisors (2925480757880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2120209109800 is a wasteful number, since it uses less digits than its factorization.

2120209109800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76523 (or 76514 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The spelling of 2120209109800 in words is "two trillion, one hundred twenty billion, two hundred nine million, one hundred nine thousand, eight hundred".